Localization of Fučík curves for the second order discrete Dirichlet operator
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Publication:2046102
DOI10.1016/j.bulsci.2021.103014zbMath1471.39018OpenAlexW3170176561MaRDI QIDQ2046102
Publication date: 17 August 2021
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11025/45510
Chebyshev polynomialsdifference operatorsMöbius transformationFučík spectrumasymmetric nonlinearities
Nonlinear boundary value problems for ordinary differential equations (34B15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete version of topics in analysis (39A12) Difference operators (39A70)
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Cites Work
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- The first nontrivial curve in the Fučík spectrum of the Dirichlet Laplacian on the ball consists of nonradial eigenvalues
- New properties of the Fučík spectrum
- Discrete nonlinear equations and the Fučìk spectrum
- Spectrum of linear difference operators and the solvability of nonlinear discrete problems
- Competition systems with strong interaction on a subdomain
- Nontrivial Fučík spectrum of one non-selfadjoint operator
- Large scale oscillatory behaviour in loaded asymmetric systems
- On the first curve of the Fučik spectrum of an elliptic operator
- Competing species equations with diffusion, large interactions, and jumping nonlinearities
- Analytical and numerical results for the Fučík spectrum of the Laplacian.
- The Fučík spectrum of the discrete Dirichlet operator
- A new and extended variational characterization of the Fučík spectrum with application to nonresonance and resonance problems
- On the resonance set in a fourth-order equation with jumping nonlinearity
- Radial Fučik spectrum of the Laplace operator
- Nonlinear resonance set for nonlinear matrix equations
- The Fucik spectrum of general Sturm-Liouville problems
- The Fučík spectrum as two regular curves
- Mathematical models for suspension bridges. Nonlinear structural instability
- Discrete Fučík spectrum -- anchoring rather than pasting
- Krylov Subspace Methods
- On solvability of equations of the $4$th order with jumping nonlinearities
- Boundary value problems with jumping nonlinearities
- Boundary-value problems for weakly nonlinear ordinary differential equations
- An example of the Fučik spectrum
- Nonlinear scalar model of a suspension bridge: existence of multiple periodic solutions
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- On Fucík type spectrum for problem with integral nonlocal boundary condition